76501085760 has 672 divisors, whose sum is σ = 301406137344. Its totient is φ = 17639424000.

The previous prime is 76501085747. The next prime is 76501085851. The reversal of 76501085760 is 6758010567.

76501085760 is a `hidden beast` number, since 7 + 6 + 501 + 0 + 85 + 7 + 60 = 666.

It is a super-2 number, since 2×76501085760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59906242 + ... + 59907518.

Almost surely, 2^76501085760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76501085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150703068672).

76501085760 is an abundant number, since it is smaller than the sum of its proper divisors (224905051584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76501085760 is a wasteful number, since it uses less digits than its factorization.

76501085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 76501085760 in words is "seventy-six billion, five hundred one million, eighty-five thousand, seven hundred sixty".